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Fluctuations for non–Hermitian dynamics, with G. Cipolloni and J. Huang, 2024. |
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Optimal rigidity and maximum of the characteristic polynomial of Wigner matrices, with P. Lopatto and O. Zeitouni, 2023. |
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The Fyodorov-Hiary-Keating Conjecture. II, with L. P. Arguin and M. Radziwill, 2023. |
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Liouville quantum gravity from random matrix dynamics, with H. Falconet, 2022. |
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Landscape complexity beyond invariance and the elastic manifold, with G. Ben Arous and B. McKenna, to appear in Communications on Pure and Applied Mathematics, 2021. |
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Exponential growth of random determinants beyond invariance, with G. Ben Arous and B. McKenna, to appear in Probability and Mathematical Physics, 2021. |
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Optimal local law and central limit theorem for β-ensembles, with K. Mody and M. Pain, Comm. Math. Phys. 390, no. 3, 1017-1079, 2022. |
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The Fyodorov-Hiary-Keating conjecture. I, with L. P. Arguin and M. Radziwill, 2020. |
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Extreme gaps between eigenvalues of Wigner matrices, Journal of the European Mathematical Society, vol. 24, no. 8, 2823-2873, 2022. |
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Gaussian fluctuations of the determinant of Wigner Matrices,
with K. Mody, Electronic Journal of Probability,
Volume 24, no 96, 2019. |
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Random band matrices in the delocalized phase, II: Generalized resolvent estimates,
with F. Yang,
H.-T. Yau and
J. Yin,
Journal of Statistical Physics, vol. 174, 1-33, 2019. |
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Random band matrices in the delocalized phase, I:
Quantum unique ergodicity and universality, with
H.-T. Yau and
J. Yin,
Communications on Pure and Applied Mathematics, vol. 13, no. 7, 1526-1596, 2020. |
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The distribution of overlaps between eigenvectors of Ginibre matrices,
with G. Dubach, Probability Theory and Related Fields, vol. 177, 397-464, 2020. |
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Maximum of the Riemann zeta function on a short interval of the critical line,
with L. P. Arguin, D. Belius, M. Radziwill and
K. Soundararajan, Communications on Pure and Applied Mathematics, volume 72, issue 3, 500-535, 2019. |
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Eigenvector Statistics of Sparse Random Matrices,
with J. Huang and H.-T. Yau, Electronic Journal of Probability, vol. 22, no. 64, 2017. |
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The two-dimensional Coulomb plasma: quasi-free approximation and central limit theorem,
with R. Bauerschmidt, M. Nikula and H.-T. Yau, Advances in Theoretical and Mathematical Physics, vol. 23, no.4, 2019. |
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Universality for a class of random band matrices,
with L. Erdős, H.-T. Yau and J. Yin, Advances in Theoretical and Mathematical Physics, vol. 21, no. 3, 739-800, 2017. |
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Maximum of the characteristic polynomial of random unitary matrices,
with L. P. Arguin and D. Belius, Communications in Mathematical Physics, vol. 349, no. 2, 703-751, 2017. |
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Local density for two-dimensional one-component plasma,
with R. Bauerschmidt, M. Nikula and H.-T. Yau, Communications in Mathematical Physics, vol. 356, 189-230, 2017. |
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Fixed energy universality for generalized Wigner matrices,
with L. Erdős, H.-T. Yau and J. Yin,
Communications on Pure and Applied Mathematics, vol. 69, no. 10, 1815-1881, 2016. |
| The eigenvector moment flow and local quantum unique ergodicity,
with H.-T. Yau, Communications in Mathematical Physics, vol. 150, no. 1, 231-278 2017. |
| Edge Universality of β-ensembles,
with L. Erdős and H.-T. Yau, Communications in Mathematical Physics, vol. 332, no. 1, 261-353, 2014. |
| The local circular law II: the edge case, with H.-T. Yau and J. Yin, Probability Theory and Related Fields, vol. 159, no. 3-4, 619-660, 2014. |
| The local circular law for random matrices, with H.-T. Yau and J. Yin, Probability Theory and Related Fields, vol. 159, no. 3-4, 545-595, 2014. |
| Strong Szegő asymptotics and zeros of the ζ function, with J. Kuan,
Communications on Pure and Applied Mathematics, vol. 67, mo. 6, 1028–1044, 2014. |
| Bulk universality of general β-ensembles with non-convex potential,
with L. Erdős and H.-T. Yau, Journal of Mathematical Physics, special issue in honor of E. Lieb's 80th birthday, vol. 53, 2012. |
| Universality of general β-ensembles,
with L. Erdős and H.-T. Yau, Duke Mathematical Journal vol. 163, no. 6, 1127-1190, 2014. |
| Extreme gaps between eigenvalues of random matrices ,
with G. Ben Arous, Annals of Probability, vol. 41, no. 4, 2648-2681, 2013. |
| A unitary extension of virtual permutations, with
J. Najnudel and
A. Nikeghbali, International Mathematical Research Notices vol. 2013, no. 18, 4101–4134, 2013. |
| Mesoscopic fluctuations of the ζ zeros,
Probability Theory and Related Fields, Volume 148, Numbers 3-4, 479-500, 2010. |
| Circular Jacobi ensembles and deformed Verblunsky coefficients,
with A. Nikeghbali and A. Rouault, International Mathematical Research Notices, Vol. 2009, no. 23, 4357-4394. |
| Conditional Haar measures on classical compact groups, Annals of Probability vol 37, no. 4, 1566-1586, 2009. |
| Ewens measures on compact groups and hypergeometric kernels,
with A. Nikeghbali and A. Rouault,
Séminaire de Probabilités XLIII, 351-377, Springer, 2011. |
| The characteristic polynomial on compact groups with Haar measure: some equalities in law,
with A. Nikeghbali and A. Rouault,
Comptes Rendus de l'Academie des Sciences, 345, 4, 2007. |
| Euler's formula for ζ(2n) and products of Cauchy variables, with T. Fujita and M. Yor,
Electronic Communications in Probability 12, 73-80, 2007.
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| The characteristic polynomial of a random unitary matrix: a probabilistic approach,
with C.P. Hughes, A. Nikeghbali and M. Yor,
Duke Mathematical Journal vol 145, no. 1, 45-69, 2008. |
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| Random band matrices, proceedings of the International Congress of Mathematicians, 2018. |
| Stochastic Analysis, lecture notes from my graduate course given in Fall 2010 at Harvard and Fall 2016 at Courant. |
| Marc Yor et les matrices aléatoires, numéro spécial de la Gazette des mathématiciens (in French, 2015). |
| Quantum chaos, random matrix theory, and the Riemann ζ function , with J. Keating,
proceedings of the Séminaire Poincaré, Birkhauser, Chaos
Progress in Mathematical Physics, vol. 66, 2013, 125-168, 2013. |
| Bulk universality for one-dimensional log-gases,
proceedings of the XVIIth International Congress On Mathematical Physics, World Scientific Publishing, 2013. |
| Tea time in Princeton,
an expository article about the analogies between the statistics
of random eigenvalues and zeros of L-functions, Harvard College Math.
Review (2012). |
| On random matrices and L-functions, my Ph.D. thesis, under supervision of M. Yor (this version: 2010). |
| Lois de Poisson-Dirichlet,
my senior thesis, about the occurrences of this measure for excursions and the distribution of large prime factors (in French, 2007). |
| Annales des Olympiades internationales de mathématiques, published by the
éditions Cassini (in French, 2005). |
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